Derivative of sin1/x

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sin(1)
------
  x

$$\frac{\sin{\left(1 \right)}}{x}$$

sin(1)/x

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
So, the result is: $- \frac{\sin{\left(1 \right)}}{x^{2}}$

The answer is:

$- \frac{\sin{\left(1 \right)}}{x^{2}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-sin(1) 
--------
    2   
   x

$$- \frac{\sin{\left(1 \right)}}{x^{2}}$$

Simplify

The second derivative [src]

2*sin(1)
--------
    3   
   x

$$\frac{2 \sin{\left(1 \right)}}{x^{3}}$$

Simplify

The third derivative [src]

-6*sin(1)
---------
     4   
    x

$$- \frac{6 \sin{\left(1 \right)}}{x^{4}}$$

Simplify

The graph